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3 Time Domain Comparison Using Constrained <strong>Wind</strong> Fields 17<br />

centre) and is used in combination with Flex5. The other applies a Cartesian<br />

grid (15 by 15) and produces wind fields which can be read by Bladed. In<br />

order to investigate the influence of the number of measuring points several<br />

configurations of anemometers (ranging from 1 to 11) have been considered.<br />

In Fig. 3.1 two of the considered configurations are shown.<br />

One of the simulated wind fields can be appointed to be the “measured”<br />

wind field. The reduced scatter in the constrained wind time series is shown<br />

in Fig. 3.2. The shape of the time series gets more fixed (determined by the<br />

measured wind speeds). Unconstrained wind fields will average out to straight<br />

horizontal lines; the variance will be uniform over the rotor plane.<br />

110<br />

100<br />

90<br />

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−50 −40 −30 −20 −10 0 10 20 30 40 50<br />

110<br />

100<br />

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70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

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−50 −40 −30 −20 −10 0 10 20 30 40 50<br />

Fig. 3.1. The applied rectangular grid for the spatial wind fields and the locations<br />

of the anemometers of 2 of the considered configurations: 1 (left) and 7 (right);<br />

radius R and 2/3R are also indicated<br />

Vertical direction<br />

40<br />

30<br />

20<br />

10<br />

0<br />

−10<br />

−20<br />

−30<br />

−40<br />

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Lateral direction<br />

1<br />

0.8<br />

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18.5<br />

18<br />

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15.5<br />

15<br />

0 10 20 30<br />

Time (s)<br />

40 50 60<br />

Fig. 3.2. Left: contour plot of the variance of the spatial constrained wind fields<br />

(averaged over time) over the rotor plane. Right: the mean (and plus/minus one<br />

standard deviation) of 30 constrained (7 anemometers) simulations; 17 m below the<br />

rotor centre

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